87845674 ÷ 829 
We want to figure out the number of times 87845674 can be divided by 829.

On to step 1:
If we divide 8 by 829, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 829

Going ahead to step 2:
If we divide 87 by 829, we get 0 and a remainder of 87.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 87, we end up with 87.
Append the next digit (8) from the dividend to 87 and continue with: 878 / 829

On to step 3:
When dividing 878 by 829, we get 1 with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 829 away from 878, we end up with 49.
Append the next digit (4) from the dividend to 49 and continue with: 494 / 829

Step 4:
The number 829 fits into 494 0 times, leaving a remainder of 494.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 494 and we're left with 494.
Include the next digit (5) from the dividend after 494, then repeat: 4945 / 829

Let's proceed to step 5:
829 goes into 4945 5 times with a remainder of 800.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtract 4145 from 4945 to get 800.
Fetch the next digit (6) from the dividend, attach it to 800 and continue: 8006 / 829

Moving on to step 6:
When dividing 8006 by 829, we get 9 with a remainder of 545.
Put 9 as the next digit of the answer. 
Result so far: 1059.0
Subtracting 7461 from 8006 leaves us with 545.
Fetch the next digit (7) from the dividend, attach it to 545 and continue: 5457 / 829

On to step 7:
When dividing 5457 by 829, we get 6 with a remainder of 483.
Write down 6 as next digit of the result. 
Result so far: 10596.0
Deduct 4974 from 5457 and we're left with 483.
Grab the next digit (4) from the dividend, add it to 483, then carry on: 4834 / 829

On to step 8:
The number 829 fits into 4834 5 times, leaving a remainder of 689.
Put 5 as the next digit of the answer. 
Result so far: 105965.0
If we take 4145 away from 4834, we end up with 689.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6890, and continue the process.

Advancing to step 9:
829 can be fit into 6890 8 times, resulting in a remainder of 258.
The number 8 becomes the next digit in our result. 
Result so far: 105965.8
If we take 6632 away from 6890, we end up with 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 10:
829 can be fit into 2580 3 times, resulting in a remainder of 93.
Write down 3 as next digit of the result. 
Result so far: 105965.83
Subtract 2487 from 2580 to get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

On to step 11:
If we divide 930 by 829, we get 1 and a remainder of 101.
The next digit of our result is 1. 
Result so far: 105965.831
Subtract 829 from 930 to get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

On to step 12:
829 can be fit into 1010 1 times, resulting in a remainder of 181.
The next digit of our result is 1. 
Result so far: 105965.8311
If we take 829 away from 1010, we end up with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Our division results in 105965.8311 with a remaining 0.00181.